# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$-x^2+7x-10=0$

Learn how to solve quadratic equations problems step by step online.

$x^2-7x+10=0$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation -x^2+7x-10=0. For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by -1. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-7 and c=10. Then substitute the values of the coefficients of the equation in the quadratic formula:<ul><li>\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</li></ul>. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Subtract the values 7 and -3.

$x=5,\:x=2$
$-x^2+7x-10=0$